Quasi-periodic solutions of forced isochronous oscillators at resonance

被引：21
|
作者：
Liu, Bin [1 ]
机构：
[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Isochronous oscillators; Repulsive singularity; Invariant curves; Quasi-periodic solutions; Lazer-Landesman conditions; Boundedness of solutions; BOUNDEDNESS; EQUATIONS;
D O I：
10.1016/j.jde.2009.02.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with the existence of quasi-periodic Solutions of forced isochronous oscillators with a repulsive singularity, the nonlinearity is a bounded perturbation. Using a variant of Moser's twist theorem of invariant curves, due to Ortega [R. Ortega, Boundedness in a piecewise linear oscillator and a variant of the small twist theorem, Proc. London Math. Soc. 79 (1999) 381-413], we show that there are Many quasi-periodic Solutions and the boundedness of all Solutions. (C) 2009 Elsevier Inc. All rights reserved.
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页码：3471 / 3495
页数：25
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